Algebraic derivations with constants satisfying a polynomial identity
Resource
Israel Journal of Mathematics 138 (1): 43-60
Journal
Israel Journal of Mathematics
Pages
43-60
Date Issued
2003
Date
2003
Author(s)
Chuang, C. L.
Abstract
We prove that if a semiprime ring R possesses a derivation which is integral over its extended centroid C and whose constants satisfy a polynomial identity, then R itself is a PI-ring. This answers affirmatively a problem raised by M. Smith in 1975 and recently again by Bergen and Grzeszczuk [4].
Type
journal article
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